A Turkish website has posted a video indicating that The Last of Us is going to be available for the PS4 sometime this summer. It should come with all the same features we love and even the single-player DLC 'Left Behind'.

A Neogaf user that goes by Quirah says that the Eurasian Software Market Manager Sercan Sulun mentioned that a sequel to The Last of Us is not ready and shouldn't be anytime soon.
Sulun states:

"There is no information about a new The Last of Us game but I can share this knowledge; as of this summer, The Last of Us will be on the PS4. Both on PSN and physically."

"The PS4 version will also include the DLC so you will be able to play 'Left Behind' as well."
Sulun has been a prominent employee of Sony since August 2012, so there should be truth to what he is claiming.